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Matrices And Determinants

JEE Main 2021 (Online) 27th July Morning Shift

INTEGER+4 / -12021
For real numbers \(\alpha\) and \(\beta\), consider the following system of linear equations :

x + y \(-\) z = 2, x + 2y + \(\alpha\)z = 1, 2x \(-\) y + z = \(\beta\). If the system has infinite solutions, then \(\alpha\) + \(\beta\) is equal to ______________.

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